The announcement comes as a symbolic show of cooperation between the global giants, after US President Donald Trump met with Russian counterpart Vladimir Putin for the first time in what has been the most eagerly awaited encounter at the summit.
Specifically, Israel is pushing for an arrangement that would keep "Hezbollah or other Iranian-backed militias" from having a presence in the zone, which would extend approximately 30 miles (48 kilometers) beyond the border.
As Russia's "de-escalation plan" for the ongoing war in Syria takes effect, neighboring countries are keen to return massive Syrian refugee populations to the four safe zones that the plan establishes in the western part of the country.
Describing U.S. relations with Russian Federation as being "at a very low point", Tillerson added: "At this point it's very hard to say what Russia's intentions are in this relationship".
The Trump administration has grappled with a strategy on how to deal with Syria once Islamic State is pushed out of its territory.
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Obama wanted to limit America's involvement in Syria's civil war.
The three countries will continue to hold talks on establishing de-escalation zones in Syria, the statement said, adding that the next round of peace talks will be held at the end of August in Astana.
Meanwhile, the Syrian Observatory for Human Rights said yesterday US-led coalition air strikes have killed at least 224 civilians since the Syrian forces it backs entered Islamic State group bastion Raqa a month ago.
"If our two countries work together to establish stability on the ground, it will lay a foundation for progress on the settlement of Syria's political future", Tillerson added. Tillerson said on Wednesday that Russian Federation has a responsibility to prevent Assad's government from conducting further chemical weapons strikes. Up to now, Assad has rejected any proposals that would see him leave power, contributing to an impasse that has prolonged Syria's suffering. Russian Federation is providing large amounts of assistance to Assad's Army and holds the reins over whether Assad steps down. Trump's administration has approached the notoriously strained relationship by trying to identify a few limited issues on which the countries could make progress, thereby building trust for a broader fix of ties.
Special units of Russian military police, equipped with light arms, will be deployed to de-escalation zones in Syria to provide safety and security there, Russia's special representative on Syria has announced. One, in Astana, is co-sponsored by Russia, Turkey, and Iran and concerns immediate cease-fire conditions.